Approximate Solutions of Differential Equations by Using the Bernstein Polynomials

<table>Approximate and exact solution of Example <a href="https://static.hindawi.com/articles/isrn/volume-2011/787694/figures/#ex2">7.2</a> for <svg height="10.8125" id="M176" style="vertical-align:-0.10033pt" version="1.1" viewbox="0 0 46.237499 10.8125" width="46.237499" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.8125)">
<g transform="translate(72,-63.35)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑚</tspan>
<tspan style="font-size: 12.50px; " x="12.340461" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="24.38085" y="0">1</tspan>
<tspan style="font-size: 12.50px; " x="30.632351" y="0">1</tspan>
</text>
</g>
</g>
</svg>.</table>

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fig2

Figure 2

Figure 2: Approximate Solutions of Differential Equations by Using the Bernstein Polynomials 